10 students of a class had a mean score of 70. The remaining 15 students of the class had mean score of 80. What is the mean score of the entire class?

Solution:

Total score of first 10 students = 10 × 70 = 700

Total score of remaining 15 students = 15 × 80 = 1200

Mean score of whole class

Mean Word Problems
Example 1:
Pedro's luncheonette is open six days a week. His income for the first five days was $1,200, $1,200, $2,000, $1,400 and $3,000. How much money must she make on the sixth day to average $2,000 for the six days?
Example 2:
George's scores on three math tests were 70, 90 and 75. What score does he need on the fourth test to have a final average of 80?

How to solve word problems with averages?
Examples:
1. Timothy's average score on the first four tests was 76. On his next five tests his average score was 85. What was his average score on all nine tests?
2. Tracy mowed lawns for two hours and earned $7.40 an hour. Then she washed windows for three hours at $6.50 per hour. What was Tracy's average earnings per hour for all five
hours?
3. After taking three quizzes, your average is 72 out of 100. What must your average be for the next five quizzes to increase your average to 77?

Solving Average Word Problems
Example:
On her first four games, Jennifer bowled 101, 112, 126, 108. What is the minimum score she must bowl in her fifth game in order to have an average of 110?

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